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Finding the Fourth Proportional to 2,885.44, 3,977.76 and 2,056

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Solution

The fourth proportional to 2,885.44, 3,977.76 and 2,056 is: 2,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.44 : 3,977.76 = 2,056 : x
  2. Step 2: Convert to fraction form
    2,885.44/3,977.76 = 2,056/x
  3. Step 3: Cross multiply
    2,885.44x = 3,977.76 × 2,056
  4. Step 4: Simplify right side
    2,885.44x = 8,178,274.56
  5. Step 5: Solve for x
    x = 8,178,274.56/2,885.44
  6. Step 6: Final answer
    x = 2,834.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.